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Nonuniversal power-law spectra in turbulent systems

Turbulence is generally associated with universal power-law spectra in scale ranges without significant drive or damping. Although many examples of turbulent systems do not exhibit such an inertial range, power-law spectra may still be observed. As a simple model for such situations, a modified version of the Kuramoto-Sivashinsky equation is studied. By means of semi-analytical and numerical studies, one finds power laws with nonuniversal exponents in the spectral range for which the ratio of nonlinear and linear time scales is (roughly) scale-independent.

preprint2013arXivOpen access
Vasil BratanovFrank JenkoDavid HatchMichael Wilczek
physics.flu-dyn
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Vasil BratanovFrank JenkoDavid HatchMichael Wilczek

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